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This article is cited in 13 scientific papers (total in 13 papers)
On a problem of cross-diffusion with nonlocal boundary conditions
Zafar R. Rakhmonova, Jasur E. Urunbayevb a National University of Uzbekistan, University, 4, Tashkent, 100174, Uzbekistan
b Samarkand State University, University Blvd., 15, Samarkand, 140104, Uzbekistan
Abstract:
Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper. Critical exponents of Fujita type and critical exponents of global existence of solution are established.
Keywords:
nonlinear parabolic system, cross-diffusion, critical Fujita curve, blow-up.
Received: 01.04.2019 Received in revised form: 15.06.2019 Accepted: 20.08.2019
Citation:
Zafar R. Rakhmonov, Jasur E. Urunbayev, “On a problem of cross-diffusion with nonlocal boundary conditions”, J. Sib. Fed. Univ. Math. Phys., 12:5 (2019), 614–620
Linking options:
https://www.mathnet.ru/eng/jsfu794 https://www.mathnet.ru/eng/jsfu/v12/i5/p614
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Abstract page: | 156 | Full-text PDF : | 51 | References: | 26 |
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